If x(t) = t-t²; - < t < and x(t) is periodic over 2π then find the Fourier series of x(t).

Q: Use the Maclaurin series for function f(x) = tan-¹ x to find the first four nonzero terms of the…

A: (a). Given that the function is                                 f(x)=tan-1(x).      To find the the…

Q: 1. Fully factor f(x) = 4x²³-7x-3 given that (2x+1) is a factor of thal

A: Given that the function fx=4x3-7x-3 Given that 2x+1 is a factor of fx  .

Q: Compute the following: (a) 152 31

A: As both the questions are different, we shall solve first one only as per the company guidelines.…

Q: Someone plans to buy 100 shares of computer stock, 250 shares of oil stock, and 400 shares of…

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Q: 51 s Two forces F₁ and F₂ are applied as shown in the figure. The resultant R has a magnitude of…

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Q: Consider the following functions. f(x) = I-4 5 Step 1 of 2: Find the formula for f g)(x) and…

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Q: Is there a unique way of filling in the missing probabilities in the transition diagram shown to the…

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Q: An automobile manufacturer produces 61% of its cars at plant A. If 4% of the cars manufactured at…

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Q: . Using Bisection Method solve for the oot of f(x) = e¯x(x² + 5x + 2) + 1, [-1,0]

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Q: In a loan database, there are 13 loans to clients with 6 years of business experience. Also, there…

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Q: Evaluate ſƒ ƒ(x, y, z)dS for f(x, y, z) = x and S is the cylinder x² + z² = 16 for 0 ≤ y ≤ 2.

A: Given: fx, y, z=x and S is the cylinder x2+z2=16 for 0≤y≤2. We have to evaluate ∫∫Sfx, y, zdS.

Q: Determine the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12)…

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Q: B = [ 2 6 + · 1 3 h L Computeh so that doooo 10000 a. T(x) = Bx is one-to-one b. Tix)=Bx is onto Be…

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Q: Give a closed formula for the sequence: 3, 6, 12, 24, 48...

A: The given sequence 3, 6, 12, 24, 48,..... We have to find the closed formula for the sequence.

Q: Suppose ΔABC and ΔDEF are two triangles such that ∠BAC ≅ ∠EDF, AC = DF, and CB = FE. Prove that…

A: Given Information: △ABC and △DEF are the two triangles. ∠BAC≅∠EDF AC=DF, CB=FE To show: Both the…

Q: Suppose the breaking strengths in tons of a steel cable of diameter d in inches is given by s =…

A: Given that: Strength in tons, s=46.5d. Strength s=12 tons. The diameter can be obtained by taking…

Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the…

A: We have to evaluate the volume of tetrahedron in order dzdxdy in the given region.

Q: Write the Maclaurin series for f(x) = 2 cos (8x²) as Find the following coefficients. Co= 2 C₂= CA…

A: I have explained everything with in the solution. Please go through that

Q: = (a) Example: Show that the set of vectors; v₁ (6, 2, 3)), v₂ = (0,5,-3) and V3 = (0, 0, 7)…

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Q: (ii, (3x³y +2)dx Alin + (x²³+y)dy = y(0)=1

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Q: For products A and B, the joint-cost function for a manufacturer is 3 2 c=9+39 2 PB = 36-293. Find…

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Q: Given a) find S,. (The nth partial sums) b) Determine if the series converges or diverges. Show how…

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: We have to evaluate the integral using Green's Theorem.

Q: Consider the function f(z) = 3x + 2x¹. For this function there are four important intervals: (-00,…

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Q: Consider the ordered bases B = matrices. a. Find the transition matrix from C to B. -11 9 TB [M]B =…

A: Given that:

Q: 2. a) Verify that F(x, y, z) = y³i + 3xy²j is a conservative vector field. b) Find a function f such…

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Q: Suppose that the matrix A has the following eigenvalues and eigenvectors: A₁ = -3 with 7₁ = and 1…

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Q: Determine if the sequence converges or diverges and show how you arrived at the conclusion In n² {a}…

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Q: Solve the initial value problem below using the method of Laplace transforms. ty" - 2ty' + 2y = 8,…

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Q: 도 2·4·6.... (an) ! 21

A: We have to evaluate the given summation. Concept required: Sum of infinite G.P.=a1-r  if |r|&lt;1

Q: Solve: y""-9y" +24y+34y = 0 y(0) = 4, y'(0) = -1, y'(0) = -56 y(t) =

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Q: Prove: If a and b are relatively prime integers, then a^(theta(b)) + b^(theta(a)) congruent 1(mod…

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Q: If there is a solution, find x if not say no solution, for the function below. 2√3x 5 + 7 = 3

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Q: B = [b₁ b₂] = [ 1 ₂ ] N= {by bal and a= (-21, 47, 2, 4) Given T(x) = proj length RT colBX defines a…

A: Given information:

Q: Find the sum 3 + 8 + 13 + 18 + 23 + 28 + ... + 303

A: See that 3, 8, 13, 18, 23, 28, ... , 303 forms an arithmetic progression (AP) with the first term…

Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

A: Given that y''' -4y'' - y' + 4y = 0 ,   y(0) = - 2 y(0) = 9 '(0) = -62.

Q: Let n be a positive integer. Prove: If n has k distinct odd prime factors, then 2^k / theta(n)

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Q: 4yk through the surface S, which is the hemisphere 2²-

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Q: 4. Solve the system of equations. If the system has no solution, say that it is inconsistent. y - z=…

A: I have explained everything with in the solution. Please go through that

Q: ind the area of the region that lies inside both curves. r=3sin(theta)     r=3cos(theta)

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Q: C Find the radius of convergence and determine the interval of convergence of the power series. ∞ k…

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Q: adioactive substance follows the law ms are present after 15 minutes, appr grams

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Q: For each of the following statement, is there a vector b that makes these statement true ? Why or…

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Q: Approximate the length of the curve y = x¹2; 0≤x≤ 1. Show your work: 2. set up the integral, then…

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Q: For G:R^2 to R^2 defined by G(x,y)=(x^3+y,y+2x) , show that G is an immersion and a topological…

A: For G:R2 to R2 defined by G(x,y)=(x3+y,y+2x), it has to be proved that G is an immersion and a…

Q: The Leslie matrix below describes a population with four age groups consisting of juveniles,…

A: Let L be a Lesie matri , then the population is given by  X(n)=L X(n-1) .

Q: |_ Suppose F(x, y) = 5yi + 2xyj. Use Green's Theorem to calculate the circulation of ♬ around the…

A: I have explained everything with in the solution. Please go through that

Q: 6. You are tiling your bathroom with the ceramic tile pattern below. One piece of tile is…

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Q: Prove the Following (2) + (+₁) = (^2 + 1) identity:

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Q: 1 Use the direct comparison test to determine if the series converges or diverges: Σ- ΣΤ

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